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Finding the Third Proportional to 116,471.25 and 249,552.56

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Solution

The third proportional to 116,471.25 and 249,552.56 is: 534,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471.25 : 249,552.56 = 249,552.56 : x
  2. Step 2: Convert to fraction form
    116,471.25/249,552.56 = 249,552.56/x
  3. Step 3: Cross multiply
    116,471.25x = 249,552.56 × 249,552.56
  4. Step 4: Simplify right side
    116,471.25x = 62,276,481,450.32
  5. Step 5: Solve for x
    x = 62,276,481,450.32/116,471.25
  6. Step 6: Final answer
    x = 534,694.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.